593 citations · 3k across the 64 of their papers we have counts for
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The brevity law as a scaling law, and a possible origin of Zipf's law for word frequencies
Alvaro Corral, Isabel Serra
An important body of quantitative linguistics is constituted by a series of statistical laws about language usage. Despite the importance of these linguistic laws, some of them are…
From Boltzmann to Zipf through Shannon and Jaynes
Alvaro Corral, Montserrat Garcia del Muro
The word-frequency distribution provides the fundamental building blocks that generate discourse in language. It is well known, from empirical evidence, that the word-frequency dis…
Truncated lognormal distributions and scaling in the size of naturally defined population clusters
Alvaro Corral, Frederic Udina, Elsa Arcaute
Using population data of high spatial resolution for a region in the south of Europe, we define cities by aggregating individuals to form connected clusters. The resulting cluster-…
Time window to constrain the corner value of the global seismic-moment distribution
Alvaro Corral, Isabel Serra
It is well accepted that, at the global scale, the Gutenberg-Richter (GR) law describing the distribution of earthquake magnitude or seismic moment has to be modified at the tail t…
The distinct flavors of Zipf's law in the rank-size and in the size-distribution representations, and its maximum-likelihood fitting
Alvaro Corral, Isabel Serra, Ramon Ferrer-i-Cancho
In the last years, researchers have realized the difficulties of fitting power-law distributions properly. These difficulties are higher in Zipf's systems, due to the discreteness…
Universality of power-law exponents by means of maximum likelihood estimation
Víctor Navas-Portella, Álvaro González, Isabel Serra +2
Power-law type distributions are extensively found when studying the behaviour of many complex systems. However, due to limitations in data acquisition, empirical datasets often on…